Twenty different statistics students are randomly selected. For each of​ them, their body temperature ​(°​C) is measured and their head circumference​ (cm) is measured. If it is found that r=​0, does that indicate that there is no association between these two​ variables?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
icon
Related questions
icon
Concept explainers
Question
Twenty different statistics students are randomly selected. For each of​ them, their body temperature ​(°​C) is measured and their head circumference​ (cm) is measured. If it is found that r=​0, does that indicate that there is no association between these two​ variables?
 
Choose the correct answer below.
 
A. ​Yes, because if r=​0, the variables are completely unrelated.
 
B. No, because while there is no linear​ correlation, there may be a relationship that is not linear.
 
C.​No, because if r=​0, the variables are in a perfect linear relationship.
 
D.No, because r does not measure the strength of the​ relationship, only its direction.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill